SOLUTION: Two numbers differ by 5. The quotient of the larger number and 2 is 13 more than twice the smaller number. Write a system that represents the situation. Solve the system to find th

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Two numbers differ by 5. The quotient of the larger number and 2 is 13 more than twice the smaller number. Write a system that represents the situation. Solve the system to find th      Log On


   

Question 1173551: Two numbers differ by 5. The quotient of the larger number and 2 is 13 more than twice the smaller number. Write a system that represents the situation. Solve the system to find the numbers.
Found 2 solutions by Solver92311, ewatrrr:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!






Solve the system by elimination. Hint: multiply the second equation by and put it into standard form. Be careful with your signs when you check your answer.

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,

Two numbers differ by 5. The quotient of the larger number(y) and 2 is 13 more than twice the smaller number(x)

Let x represent the smaller number and y represent the Larger:

Write as You Read: x 

 y - x = 5

 y/2 = 2x + 13



 y -  x = 5

 y/2 -2x = 13   |Multiply 2nd EQ by -2 to eliminate y



 y -  x = 5

 -y + 4x = -26

    3x = -21

     x = -7, the smaller number.   Larger numbers is  -2  y+=+x%2B5

Checking our Answer:

 y/2 = 2x + 13

 -1 = -14  + 13  checks

Wish You the Best in your Studies.